Titlebook: Computational and Analytic Methods in Science and Engineering; Christian Constanda Book 2020 Springer Nature Switzerland AG 2020 CMMSE 201

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Spectral Homogenization Problems in Linear Elasticity with Large Reaction Terms Concentrated in Smantact with the plane. We assume that this surface is traction-free out of “small regions,” where we impose Winkler–Robin boundary conditions. These “reaction regions” are periodically placed along the plane while its size is much smaller than the period. The Winkler–Robin condition links stresses an

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The Mathematical Modelling of the Motion of Biological Cells in Response to Chemical Signals,e cell is increasing. The chemical signal may be secreted by cells to signal other nearby cells (or clusters of cells) so that they can combine to form larger clusters. In a full simulation, spread of the chemical signal is modelled using the convection-diffusion equation which can be solved using t

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Two-Phase Three-Component Flow in Porous Media: Mathematical Modeling of Dispersion-Free Pressure Bs are phase components mass fractions, and pressure and saturation of each phase. Several constitutive relations (phase equilibria, phases relative permeabilities, capillary pressure, etc.), constraint equations (sum of phases saturations, sum of components mass fractions in each phase, etc.), and m

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978-3-030-48188-9Springer Nature Switzerland AG 2020

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https://doi.org/10.1007/978-94-009-1948-8cribing the bending of an elastic plate with transverse shear deformation. The construction of this generalized Fourier series procedure is based on the integral representation formula for the solution. The theory is illustrated by two numerical examples, which show the efficiency and accuracy of the technique.